SOLUTION: Write an equation of a line that is perpendicular to y=3x + 5 and passes through (4,3)

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Question 73723: Write an equation of a line that is perpendicular to y=3x + 5 and passes through (4,3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
A perpendicular line has a negated inverted slope. So if I have a slope of 2, I will have a slope of -1%2F2. The general rule for a perpendicular slope is
m%5Bp%5D=-1%2Fmwhere m%5Bp%5D is the perpendicular slope
So if m=3 then m%5Bp%5D=-1%2F3. Now use the point-slope formula
y-y%5B1%5D=m%28x-x%5B1%5D%29
y-3=%28-1%2F3%29%28x-4%29Plug in m=-1/3 and (x%5B1%5D,y%5B2%5D)=(4,3) and solve for y
y=%28-1%2F3%29x%2B4%2F3%2B3%29
y=%28-1%2F3%29x%2B13%2F3%29So this is the perpendicular line through (4,3)